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Finding the Fourth Proportional to 11,183.56, 16,749.06 and 6,569.80

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Solution

The fourth proportional to 11,183.56, 16,749.06 and 6,569.80 is: 9,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183.56 : 16,749.06 = 6,569.80 : x
  2. Step 2: Convert to fraction form
    11,183.56/16,749.06 = 6,569.80/x
  3. Step 3: Cross multiply
    11,183.56x = 16,749.06 × 6,569.80
  4. Step 4: Simplify right side
    11,183.56x = 110,037,974.39
  5. Step 5: Solve for x
    x = 110,037,974.39/11,183.56
  6. Step 6: Final answer
    x = 9,839.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.